{
  "bench_version": 1,
  "track": "dynamics",
  "model": "rnn_small_phase_gru",
  "metric_direction": "lower is better",
  "n_seeds": 8,
  "baseline": {
    "best_cfg": {
      "lr": 0.006,
      "weight_decay": 0.0
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.001,
          "weight_decay": 0.0
        },
        "mean": 0.002156580056180246,
        "std": 0.0005337133383512335,
        "per_seed": [
          0.0014283749042078853,
          0.0019986501429229975,
          0.0017361249774694443,
          0.0022385285701602697,
          0.0016417494043707848,
          0.002327029127627611,
          0.0030278568156063557,
          0.002854326507076621
        ]
      },
      {
        "cfg": {
          "lr": 0.003,
          "weight_decay": 0.0
        },
        "mean": 0.0011022633989341557,
        "std": 0.00039374711633484005,
        "per_seed": [
          0.0009436382679268718,
          0.0008971625356934965,
          0.0006927313515916467,
          0.001675509149208665,
          0.0007120227674022317,
          0.0008096328820101917,
          0.0013870575930923223,
          0.00170035264454782
        ]
      },
      {
        "cfg": {
          "lr": 0.006,
          "weight_decay": 0.0
        },
        "mean": 0.0007801908141118474,
        "std": 0.000154764005468824,
        "per_seed": [
          0.0007548112771473825,
          0.0008833256433717906,
          0.0005147535703144968,
          0.0009292386239394546,
          0.0005692947888746858,
          0.0008575883111916482,
          0.0007604749407619238,
          0.0009720393572933972
        ]
      }
    ],
    "full": {
      "mean": 0.0007801908141118474,
      "std": 0.000154764005468824,
      "per_seed": [
        0.0007548112771473825,
        0.0008833256433717906,
        0.0005147535703144968,
        0.0009292386239394546,
        0.0005692947888746858,
        0.0008575883111916482,
        0.0007604749407619238,
        0.0009720393572933972
      ],
      "n": 8,
      "signatures": [
        {},
        {},
        {},
        {},
        {},
        {},
        {},
        {}
      ]
    }
  },
  "idea": {
    "best_cfg": {
      "lr": 0.006,
      "weight_decay": 0.0,
      "k": 1.0,
      "delta": 0.12
    },
    "sweep": [
      {
        "cfg": {
          "lr": 0.006,
          "weight_decay": 0.0,
          "k": 1.0,
          "delta": 0.02
        },
        "mean": 0.000786285956564825,
        "std": 0.00016373570475228794
      },
      {
        "cfg": {
          "lr": 0.006,
          "weight_decay": 0.0,
          "k": 1.0,
          "delta": 0.05
        },
        "mean": 0.0007858229582780041,
        "std": 0.0001619668831625854
      },
      {
        "cfg": {
          "lr": 0.006,
          "weight_decay": 0.0,
          "k": 1.0,
          "delta": 0.12
        },
        "mean": 0.0007801908141118474,
        "std": 0.000154764005468824
      }
    ],
    "full": {
      "cfg": {
        "lr": 0.006,
        "weight_decay": 0.0,
        "k": 1.0,
        "delta": 0.12
      },
      "mean": 0.0007801908141118474,
      "std": 0.000154764005468824,
      "per_seed": [
        0.0007548112771473825,
        0.0008833256433717906,
        0.0005147535703144968,
        0.0009292386239394546,
        0.0005692947888746858,
        0.0008575883111916482,
        0.0007604749407619238,
        0.0009720393572933972
      ],
      "n": 8,
      "signatures": [
        {
          "mean_V": 0.014306977391242981,
          "mean_exact_u_norm": 0.026661492884159088,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.026661492884159088,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.073698490858078
        },
        {
          "mean_V": 0.04791915416717529,
          "mean_exact_u_norm": 0.051865410059690475,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.051865410059690475,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.10102833807468414
        },
        {
          "mean_V": 0.019514720886945724,
          "mean_exact_u_norm": 0.032075561583042145,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.032075561583042145,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.08094639331102371
        },
        {
          "mean_V": 0.01886623166501522,
          "mean_exact_u_norm": 0.030544035136699677,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.030544035136699677,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.08747458457946777
        },
        {
          "mean_V": 0.021111171692609787,
          "mean_exact_u_norm": 0.03352213650941849,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.03352213650941849,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.07995948940515518
        },
        {
          "mean_V": 0.026953421533107758,
          "mean_exact_u_norm": 0.038697995245456696,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.038697995245456696,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.07766351848840714
        },
        {
          "mean_V": 0.013531758449971676,
          "mean_exact_u_norm": 0.027224672958254814,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.027224672958254814,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.07655420154333115
        },
        {
          "mean_V": 0.0649743378162384,
          "mean_exact_u_norm": 0.060073141008615494,
          "mean_applied_u_norm": 0.0,
          "mean_hold_error": 0.060073141008615494,
          "event_rate_per_sequence_step": 0.0,
          "max_hold_error": 0.09835705906152725
        }
      ]
    }
  },
  "comparison": {
    "delta_mean": 0.0,
    "idea_wins": 0,
    "n_pairs": 8,
    "per_seed_diffs": [
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0
    ],
    "p_value": 1.0,
    "mde": 0.0,
    "mde_rel_pct": 0.0,
    "verdict": "no measurable effect",
    "system_worked": false,
    "paired_diffs": [
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0,
      0.0
    ],
    "permutation_pvalue": 1.0
  },
  "mechanism_signature": {
    "prediction": "event rotation should preserve pair norms and bound hold error by delta",
    "observed": [
      {
        "mean_V": 0.014306977391242981,
        "mean_exact_u_norm": 0.026661492884159088,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.026661492884159088,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.073698490858078
      },
      {
        "mean_V": 0.04791915416717529,
        "mean_exact_u_norm": 0.051865410059690475,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.051865410059690475,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.10102833807468414
      },
      {
        "mean_V": 0.019514720886945724,
        "mean_exact_u_norm": 0.032075561583042145,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.032075561583042145,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.08094639331102371
      },
      {
        "mean_V": 0.01886623166501522,
        "mean_exact_u_norm": 0.030544035136699677,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.030544035136699677,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.08747458457946777
      },
      {
        "mean_V": 0.021111171692609787,
        "mean_exact_u_norm": 0.03352213650941849,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.03352213650941849,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.07995948940515518
      },
      {
        "mean_V": 0.026953421533107758,
        "mean_exact_u_norm": 0.038697995245456696,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.038697995245456696,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.07766351848840714
      },
      {
        "mean_V": 0.013531758449971676,
        "mean_exact_u_norm": 0.027224672958254814,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.027224672958254814,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.07655420154333115
      },
      {
        "mean_V": 0.0649743378162384,
        "mean_exact_u_norm": 0.060073141008615494,
        "mean_applied_u_norm": 0.0,
        "mean_hold_error": 0.060073141008615494,
        "event_rate_per_sequence_step": 0.0,
        "max_hold_error": 0.09835705906152725
      }
    ],
    "mean_hold_error": 0.03758305567316711,
    "delta": 0.12,
    "confirmed": true
  },
  "math_check": {
    "Vdot_observed": -0.006759319770566208,
    "Vdot_predicted": -0.0067593166955923385,
    "ratio": 1.0000004549237753,
    "passed": true
  },
  "custom_track": null
}